Question

Write an equation in the form Ax+By=C, given that m=2/3 and y intercept is (0,-3) where a,b,
And c are integers

Answer 1

Answer:

2x - 3y = 9

Step-by-step explanation:

The slope-intercept form of an equation of a line:

$y=mx+b$

m - slope

b - y-intercept

We have

$m=\dfrac{2}{3},\ (0,\ -3)\ro b=-3$

Substitute:

$y=\dfrac{2}{3}x-3$

Convert to the standard form (Ax + By = C):

$y=\dfrac{2}{3}x-3$               multiply both sides by 3

$3y=3\!\!\!\!\diagup\cdot\dfrac{2}{3\!\!\!\!\diagup}x-(3)(3)$

$3y=2x-9$                subtract 2x from both sides

$-2x+3y=-9$               change the signs

$2x-3y=9$